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Finding the Fourth Proportional to 2,130.53, 3,191.53 and 1,692.52

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Solution

The fourth proportional to 2,130.53, 3,191.53 and 1,692.52 is: 2,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.53 : 3,191.53 = 1,692.52 : x
  2. Step 2: Convert to fraction form
    2,130.53/3,191.53 = 1,692.52/x
  3. Step 3: Cross multiply
    2,130.53x = 3,191.53 × 1,692.52
  4. Step 4: Simplify right side
    2,130.53x = 5,401,712.40
  5. Step 5: Solve for x
    x = 5,401,712.40/2,130.53
  6. Step 6: Final answer
    x = 2,535.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.